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AP® Physics 1 & 2

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Time to Cross the Galaxy at Relativistic Velocities

APPH12-S1AE6@

As observed from a telescope on Earth, the Milky Way Galaxy has a length of 100,000 light years. You have created a spaceship capable of traveling at relativistic speeds and decide to explore the Galaxy. You travel from one end to the other.

If you travel at a constant velocity of $v$ $=$ $0.99995c$, what time does each observer observe the spaceship to cross the Galaxy?

A

Earth Observer = 100,005 years;
Ship Observer = 1,000.05 years

B

Ship Observer = 100,005 years;
Earth Observer = 1,000.05 years

C

Earth Observer = 100,005 years;
Ship Observer = 707.14 years

D

Ship Observer = 100,005 years;
Earth Observer = 707.14 years